13561135424032 has 96 divisors (see below), whose sum is σ = 31163817484800. Its totient is φ = 5687881482240.

The previous prime is 13561135423921. The next prime is 13561135424087. The reversal of 13561135424032 is 23042453116531.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207168844 + ... + 207234292.

It is an arithmetic number, because the mean of its divisors is an integer number (324623098800).

Almost surely, 2^{13561135424032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13561135424032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15581908742400).

13561135424032 is an abundant number, since it is smaller than the sum of its proper divisors (17602682060768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13561135424032 is a wasteful number, since it uses less digits than its factorization.

13561135424032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85194 (or 85186 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 13561135424032 in words is "thirteen trillion, five hundred sixty-one billion, one hundred thirty-five million, four hundred twenty-four thousand, thirty-two".